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Blaise Pascal

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Mellorie Capistrano

on 22 January 2014

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Transcript of Blaise Pascal

Who is Blaise Pascal?
Born on June 19, 1623 in Clermont-Ferrand, France
17th Century Mathematical genius
Best known for being a mathematician, physicist and religious philosopher,
who laid the foundation
for the modern theory
of probabilities
Works cited
Burton, D. M. (2011). The History of Mathematics. New York: The McGraw-Hill
Companies, Inc.
Hosch, W. (n.d.). Pascal's triangle. Encyclopedia Britannica Online. Retrieved
December 20, 2013, from http://www.britannica.com/EBchecked/topic/445453/Pascals-triangle
Pomerantz, H. (1997). The Role of Calculators in Math Education. Retrieved January
12, 2014, from http://education.ti.com/sites/US/downloads/pdf/therole.pdf
Raven, A. (2010, October 19). Blaise Pascal biography. Bio.com. Retrieved December
11, 2013, from http://www.biography.com/people/blaise-pascal-9434176
Ross, J. F. (2004). Pascal’s legacy. NCBI. Retrieved December 20, 2013, from http://

Early Life
Pascal was home schooled by his father, Etienne
Studying mathematics was forbidden in their household, sparking his curiosity
Eventually, Etienne allowed Blaise to study the principles of geometry
He was able to determine that the sum of the angles of a triangle is two right angles
After realizing his son was a prodigy, Etienne enrolled him in math workshops where he was able learn and comprehend math on a higher level
These gatherings encouraged him to write an essay entitled “Essai pour les coniques”
In this essay, he deduced over four hundred
propositions on conic sections
This resulted in the creation of his first theorem, known as Pascal’s mystic hexagon theorem
THE pascaline
Pascal wanted to construct a mechanism that would make his father's job of straightening out tax records more tolerable
For two years, he worked on a clockwork apparatus that would quickly solve addition and multiplication
The final product was
a complex mechanism,
which he named the "Pascaline"
Living in France allowed Pascal to attend mathematical gatherings that ultimately contributed to his success
This enabled him to meet and
work with mathematicians
He was given the opportunity to study new concepts and develop his own, which may not have happened if he did not attend these meeting in Paris
Some of these present day concepts and technologies derived from Pascal include:
The Calculator
The Probability Theory
Blaise Pascal is a very influential man who has made significant contributions to the evolution of mathematics.

presented by
Mellorie capistrano
patricia gerongco
the cycloid
In 1658, Pascal became interested in solving problems about the cycloid
The cycloid is a curve formed by tracing a point on the circumference of a circle as it rolls along a straight line

Pascal worked on calculating the area under one arch and solving for the volume and surface area of the solid obtained by revolving the curve about the base line
After eight straight days of furiously working, he later published his solutions in “History of the Cycloid”
what it means for us today
Pascal’s numerous contributions to mathematics have made lasting impacts on our world and are the foundation to many of our concepts and technologies today
Some of these present day concepts and technologies derived from Pascal include...
The calculator
Due to the development of the Pascaline, the calculator was invented
It has become such an essential tool in learning because it reduces the time spent on performing basic calculations and allows more time on developing mathematical understanding and reasoning
Today, calculators are one of the
most valuable educational tools
for students
the probability theory
Derived from Pascal’s triangle
It changed the way we regard uncertainty, risk and decision-making and has the ability to influence the course of future events
For instance, with the use of the probability theory, gamblers can evaluate a game by simply calculating the possible occurrences of a certain number, card or value
Also used in areas, such as forecasting weather, assessing risks in medical treatment, and even in predicting the likelihood of being struck by lightning
It is the very essence of modern-day risk analysis and management
in conclusion
Blaise Pascal is a very influential man who has made significant contributions to the evolution of mathematics
Had he dedicated his whole
life to his studies, Pascal may
have enhanced the subject to a greater extent
Nonetheless, no other mathematician displayed greater natural genius than Blaise Pascal whose inventions and discoveries have played a major role in our world today
During the final years of Pascal's life, he suffered from extreme headaches
It was later discovered that the cause was a malignant growth in his stomach that spread to his brain, forming a lesion
Pascal died in Paris on August 19, 1662
Pascal became involved in gambling with dice for a period of time in his life
This encouraged him to work on probability and figure out the chances of getting different values for rolls of dice
Pascal published “Traite du Triangle Arithmetique” in 1654, and created what is known today as Pascal’s triangle
The development of the arithmetic triangle provided an advance in algebra and probability, changing the world of mathematics
PASCAL's triangle
This triangle has an infinite numerical table in ‘triangular form’, where the nth row of the triangle lists the successive coefficients in the binomial expansion of (x + y)^n
t is constructed in a way that each number is a result of adding the number to its left to the number above it - with the exception of the first column and row which contains only 1s
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